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131792991 = 31127114737
BaseRepresentation
bin1111101101100…
…00000001011111
3100011222202222220
413312300001133
5232214333431
621024440423
73160136061
oct766600137
9304882886
10131792991
1168437030
1238179113
13213c5925
1413709731
15b884b96
hex7db005f

131792991 has 16 divisors (see below), whose sum is σ = 192419328. Its totient is φ = 79574400.

The previous prime is 131792971. The next prime is 131793017. The reversal of 131792991 is 199297131.

It is not a de Polignac number, because 131792991 - 210 = 131791967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131792971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (12026208).

Almost surely, 2131792991 is an apocalyptic number.

131792991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131792991 is a deficient number, since it is larger than the sum of its proper divisors (60626337).

131792991 is a wasteful number, since it uses less digits than its factorization.

131792991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022.

The product of its digits is 30618, while the sum is 42.

The square root of 131792991 is about 11480.1128478774. The cubic root of 131792991 is about 508.8980320494.

The spelling of 131792991 in words is "one hundred thirty-one million, seven hundred ninety-two thousand, nine hundred ninety-one".

Divisors: 1 3 11 33 271 813 2981 8943 14737 44211 162107 486321 3993727 11981181 43930997 131792991